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Finding the Fourth Proportional to 195.64, 292.18 and 175.48

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Solution

The fourth proportional to 195.64, 292.18 and 175.48 is: 262.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.64 : 292.18 = 175.48 : x
  2. Step 2: Convert to fraction form
    195.64/292.18 = 175.48/x
  3. Step 3: Cross multiply
    195.64x = 292.18 × 175.48
  4. Step 4: Simplify right side
    195.64x = 51,271.75
  5. Step 5: Solve for x
    x = 51,271.75/195.64
  6. Step 6: Final answer
    x = 262.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.